Holomorphic Bogoliubov functionals for interacting particle systems in continuum

Detalhes bibliográficos
Autor(a) principal: Kondratiev, Yuri G.
Data de Publicação: 2006
Outros Autores: Kuna, Tobias, Oliveira, Maria João
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/1689
Resumo: Combinatorial harmonic analysis techniques are used to develop new analytical methods for the study of interacting particle systems in continuum based on a Bogoliubov functional approach. Concrete applications of the methods are presented, namely, conditions for the existence of Bogoliubov functionals, a uniqueness result for Gibbs measures in the high temperature regime. We also propose a new approach to the study of non-equilibrium stochastic dynamics in terms of evolution equations for Bogoliubov functionals.
id RCAP_853f39e829b43068b2acdf1b8e8bc6a9
oai_identifier_str oai:repositorioaberto.uab.pt:10400.2/1689
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Holomorphic Bogoliubov functionals for interacting particle systems in continuumConfiguration spacesGenerating functionalContinuous systemGibbs measureStochastic dynamicsCombinatorial harmonic analysis techniques are used to develop new analytical methods for the study of interacting particle systems in continuum based on a Bogoliubov functional approach. Concrete applications of the methods are presented, namely, conditions for the existence of Bogoliubov functionals, a uniqueness result for Gibbs measures in the high temperature regime. We also propose a new approach to the study of non-equilibrium stochastic dynamics in terms of evolution equations for Bogoliubov functionals.ElsevierRepositório AbertoKondratiev, Yuri G.Kuna, TobiasOliveira, Maria João2010-12-07T14:09:40Z20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/1689engKondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João - Holomorphic Bogoliubov functionals for interacting particle systems in continuum. "Journal of Functional Analysis" [Em linha]. ISSN 0022-1236. Vol. 238, Issue 2 (2006), p. 375-4040022-1236doi:10.1016/j.jfa.2006.06.001info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:14:26Zoai:repositorioaberto.uab.pt:10400.2/1689Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:43:24.291635Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Holomorphic Bogoliubov functionals for interacting particle systems in continuum
title Holomorphic Bogoliubov functionals for interacting particle systems in continuum
spellingShingle Holomorphic Bogoliubov functionals for interacting particle systems in continuum
Kondratiev, Yuri G.
Configuration spaces
Generating functional
Continuous system
Gibbs measure
Stochastic dynamics
title_short Holomorphic Bogoliubov functionals for interacting particle systems in continuum
title_full Holomorphic Bogoliubov functionals for interacting particle systems in continuum
title_fullStr Holomorphic Bogoliubov functionals for interacting particle systems in continuum
title_full_unstemmed Holomorphic Bogoliubov functionals for interacting particle systems in continuum
title_sort Holomorphic Bogoliubov functionals for interacting particle systems in continuum
author Kondratiev, Yuri G.
author_facet Kondratiev, Yuri G.
Kuna, Tobias
Oliveira, Maria João
author_role author
author2 Kuna, Tobias
Oliveira, Maria João
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Kondratiev, Yuri G.
Kuna, Tobias
Oliveira, Maria João
dc.subject.por.fl_str_mv Configuration spaces
Generating functional
Continuous system
Gibbs measure
Stochastic dynamics
topic Configuration spaces
Generating functional
Continuous system
Gibbs measure
Stochastic dynamics
description Combinatorial harmonic analysis techniques are used to develop new analytical methods for the study of interacting particle systems in continuum based on a Bogoliubov functional approach. Concrete applications of the methods are presented, namely, conditions for the existence of Bogoliubov functionals, a uniqueness result for Gibbs measures in the high temperature regime. We also propose a new approach to the study of non-equilibrium stochastic dynamics in terms of evolution equations for Bogoliubov functionals.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01T00:00:00Z
2010-12-07T14:09:40Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.2/1689
url http://hdl.handle.net/10400.2/1689
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Kondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João - Holomorphic Bogoliubov functionals for interacting particle systems in continuum. "Journal of Functional Analysis" [Em linha]. ISSN 0022-1236. Vol. 238, Issue 2 (2006), p. 375-404
0022-1236
doi:10.1016/j.jfa.2006.06.001
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799135000668405760

Registros relacionados